A line segment has endpoints (0, 5) and (6, 5). After the line segment is reflected across
the x-axis, how long will it be? (1 point)
The y-coordinate of both endpoints is 5. When the line segment is reflected across the x-axis, the y-coordinate of each point will be negated. Therefore, the reflected line segment will have endpoints (0, -5) and (6, -5).
To find the length of the line segment, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of the endpoints, we have:
d = √((6 - 0)^2 + (-5 - (-5))^2)
= √(6^2 + 0^2)
= √(36)
= 6
Therefore, the length of the reflected line segment is 6 units.